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两个正交投影算子乘积的性质

Characterization of the Product of Two Orthogonal Projection Operators
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摘要 利用CS分解的方法分别研究了两个正交投影算子的乘积为co-EP算子、EP算子、Hypo-EP算子、自共轭算子、正常算子、部分等距算子的充要条件。 The CS decomposition method is used to study the necessary and sufficient conditions for the product of two orthogonal projection operators to be a co-EP operator,an EP operator,a Hypo-EP operator,a self-conjugate operator,a normal operator,and a partial isometric operator.
作者 张露露 海国君 阿拉坦仓 额布日力吐 ZHANG Lulu;HAI Guojun;Alatancang;Eburilitu(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)
出处 《内蒙古大学学报(自然科学版)》 CAS 北大核心 2021年第3期238-242,共5页 Journal of Inner Mongolia University:Natural Science Edition
基金 国家自然科学基金(11761052,11761029,11862029) 内蒙古自治区自然科学基金(2020ZD01)。
关键词 CS分解 正交投影算子 co-EP算子 CS decomposition orthogonal projection co-EP operator
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  • 1Cheng S,Tian Y.Moore-Penrose inverses of products and differences of orthogonal projectors[J].Acta Sci Math,(Szeged),2003,69:533-542.
  • 2Amrein W O,Sinha K B.On pairs of projections in a Hilbert space[J].Linear Algebra and Its Applications,1994.208-209,425-435.
  • 3Halmos P.Two subspaces[J].Trans Amer,Math Soc,1969,144:381-389.
  • 4Sppitkovsky I.Once more on algebras generated by two projections[J].Linear Algebra and Its Applications,1994.208-209,377-395.
  • 5Kruglyak S,Rabanovich V,Samolenko Y.Decomposition of a scalar matrix into a sum of orthogonal projections[J].Linear Algebra and Its Applications,2003,370:217-225.
  • 6Lauzon M, Treil S, Common complements of two subspaces of a Hilbert space, Journal of Functional Analysis, 2004, 212: 500-512.
  • 7GroB J, On oblique projections, rank additivity and the Moore-Penrose inverse of the sum of two matrices,Linear and Multilinear Algebra, 1999, 46: 265-275.
  • 8Du H. K, Operator matrix forms of positive operator matrices, Chinese Quart. J. Math, 1992, 7: 9-11.
  • 9Du H. K, Deng C. Y, A new characterization of gaps between two subspaces, Proc. Amer. Math. Soc,2005, 133 : 3065-3070.
  • 10Fillmore L. R, Williams J. P, On operator ranges, Advances in Math, 1971, 7: 254-281.

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